LCM for 54 and 135
What's the Least Common Multiple (LCM) of 54 and 135?
(Two hundred seventy)
Finding LCM for 54 and 135 using GCF's of these numbers
The first method to find LCM for numbers 54 and 135 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 54 and 135 is 27, so
LCM = (54 × 135) ÷ 27
LCM = 7290 ÷ 27
LCM = 270
Finding LCM for 54 and 135 by Listing Multiples
The second method to find LCM for numbers 54 and 135 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 54: 54, 108, 162, 216, 270, 324, 378
Multiples of 135: 135, 270, 405, 540
So the LCM for 54 and 135 is 270
Finding LCM for 54 and 135 by Prime Factorization
Another method to find LCM for numbers 54 and 135 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 54: 2, 3, 3, 3 (exponent form: 21, 33)
All Prime Factors of 135: 3, 3, 3, 5 (exponent form: 33, 51)
21 × 33 × 51 = 270
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/54--135">What is the LCM of 54 and 135? - Calculatio</a>
LCM Table
About "Least Common Multiple" Calculator
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers